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Description
This study explores the mass-radius relationship of oblate spheroidal magnetized white dwarfs within the parameterized γ-metric formalism. A relativistic free Fermi gas of electrons embedded in strong Landau quantizing magnetic fields at absolute zero temperature is considered. Due to the anisotropy in the pressures parallel and perpendicular to the direction of the magnetic field, these magnetized white dwarfs become oblate spheroids. This deformation is accounted in the presence of a deformed Schwarzschild metric known as the γ-metric. Stable super-Chandrasekhar white dwarfs (> 5M⊙) are obtained. We see that at constant central density, as the central magnetic field increases, the mass first increases and then decreases. The equatorial radius follows a reverse trend, that is, it first decreases and then increases. We also found that the maximum mass occurs at higher central electron number density as the central magnetic field increases. This shows that due to the pressure anisotropy induced by the strong magnetic field, the Equation of State (EoS) becomes softer and hence makes the star more compact.
| Field of contribution | Theory |
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